Calculation of Ruin Probabilities when the Premium Depends on the Current Reserve
Søren Schock Petersen
Abstract
Søren Schock Petersen
Abstract
The purpose of this paper is to show how the ruin probability can be found for a compound Poisson risk process with a general premium rate p(r) depending on the reserve r, and it is illustrated how the probability of ruin can be calculated using a simple numerical method.
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The purpose of this paper is to show how the ruin probability can be found for a compound Poisson risk process with a general premium rate p(r) depending on the reserve r, and it is illustrated how the probability of ruin can be calculated using a simple numerical method.
Key concepts: Ruin theory, Poisson distribution, Simple (philosophy), Mathematics, Poisson process, Compound Poisson process, Current (fluid), Risk model